Information on Result #679023

Linear OA(4211, 16384, F4, 41) (dual of [16384, 16173, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(4211, 8926, F4, 2, 41) (dual of [(8926, 2), 17641, 42]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4211, 8926, F4, 3, 41) (dual of [(8926, 3), 26567, 42]-NRT-code) [i]
3Digital (170, 211, 8926)-net over F4 [i]
4Linear OA(4218, 16391, F4, 42) (dual of [16391, 16173, 43]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
5Linear OA(4212, 16392, F4, 41) (dual of [16392, 16180, 42]-code) [i]✔
6Linear OA(4212, 16399, F4, 40) (dual of [16399, 16187, 41]-code) [i]✔
7Linear OA(4214, 16401, F4, 41) (dual of [16401, 16187, 42]-code) [i]✔
8Linear OA(4237, 16410, F4, 45) (dual of [16410, 16173, 46]-code) [i]✔
9Linear OA(4235, 16405, F4, 44) (dual of [16405, 16170, 45]-code) [i]✔
10Linear OA(4216, 16410, F4, 41) (dual of [16410, 16194, 42]-code) [i]✔
11Linear OA(4214, 16405, F4, 40) (dual of [16405, 16191, 41]-code) [i]✔
12Linear OA(4246, 16419, F4, 46) (dual of [16419, 16173, 47]-code) [i]✔
13Linear OA(4256, 16429, F4, 47) (dual of [16429, 16173, 48]-code) [i]✔
14Linear OA(4224, 16432, F4, 41) (dual of [16432, 16208, 42]-code) [i]✔
15Linear OA(4221, 16429, F4, 40) (dual of [16429, 16208, 41]-code) [i]✔
16Linear OA(4230, 16449, F4, 41) (dual of [16449, 16219, 42]-code) [i]✔
17Linear OA(4233, 16455, F4, 41) (dual of [16455, 16222, 42]-code) [i]✔
18Linear OA(4237, 16466, F4, 41) (dual of [16466, 16229, 42]-code) [i]✔
19Linear OA(4233, 16462, F4, 40) (dual of [16462, 16229, 41]-code) [i]✔
20Linear OA(4237, 16469, F4, 40) (dual of [16469, 16232, 41]-code) [i]✔
21Linear OA(4239, 16474, F4, 40) (dual of [16474, 16235, 41]-code) [i]✔
22Linear OA(4231, 16452, F4, 41) (dual of [16452, 16221, 42]-code) [i]✔
23Linear OA(4232, 16454, F4, 41) (dual of [16454, 16222, 42]-code) [i]✔
24Linear OA(4230, 16452, F4, 40) (dual of [16452, 16222, 41]-code) [i]✔
25Linear OA(4235, 16458, F4, 41) (dual of [16458, 16223, 42]-code) [i]✔
26Linear OA(4232, 16456, F4, 40) (dual of [16456, 16224, 41]-code) [i]✔
27Linear OA(4237, 16473, F4, 40) (dual of [16473, 16236, 41]-code) [i]✔
28Linear OA(4240, 16474, F4, 41) (dual of [16474, 16234, 42]-code) [i]✔
29Linear OA(4255, 16428, F4, 47) (dual of [16428, 16173, 48]-code) [i]✔
30Linear OA(4222, 16426, F4, 41) (dual of [16426, 16204, 42]-code) [i]✔
31Linear OA(4223, 16430, F4, 41) (dual of [16430, 16207, 42]-code) [i]✔
32Linear OA(4220, 16428, F4, 40) (dual of [16428, 16208, 41]-code) [i]✔
33Linear OA(4230, 16450, F4, 41) (dual of [16450, 16220, 42]-code) [i]✔
34Linear OA(4245, 16412, F4, 46) (dual of [16412, 16167, 47]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
35Linear OA(4236, 16403, F4, 45) (dual of [16403, 16167, 46]-code) [i]✔
36Linear OA(4234, 16401, F4, 44) (dual of [16401, 16167, 45]-code) [i]✔
37Linear OA(4241, 16417, F4, 45) (dual of [16417, 16176, 46]-code) [i]✔
38Linear OA(4240, 16415, F4, 45) (dual of [16415, 16175, 46]-code) [i]✔
39Linear OA(4239, 16413, F4, 45) (dual of [16413, 16174, 46]-code) [i]✔
40Linear OA(4229, 16404, F4, 43) (dual of [16404, 16175, 44]-code) [i]✔
41Linear OA(4220, 16394, F4, 42) (dual of [16394, 16174, 43]-code) [i]✔
42Linear OA(4213, 16394, F4, 41) (dual of [16394, 16181, 42]-code) [i]✔
43Linear OA(4215, 16403, F4, 41) (dual of [16403, 16188, 42]-code) [i]✔
44Linear OA(4213, 16401, F4, 40) (dual of [16401, 16188, 41]-code) [i]✔
45Linear OA(4220, 16417, F4, 41) (dual of [16417, 16197, 42]-code) [i]✔
46Linear OA(4219, 16415, F4, 41) (dual of [16415, 16196, 42]-code) [i]✔
47Linear OA(4218, 16413, F4, 41) (dual of [16413, 16195, 42]-code) [i]✔
48Linear OOA(4211, 8192, F4, 2, 41) (dual of [(8192, 2), 16173, 42]-NRT-code) [i]OOA Folding
49Linear OOA(4211, 5461, F4, 3, 41) (dual of [(5461, 3), 16172, 42]-NRT-code) [i]